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Text File  |  1996-10-03  |  2KB  |  39 lines
  1. #C From: Dean Hickerson
  2. #C Date: Fri, 14 Aug 92 13:12:52 -0700
  3. #C Subject: New sawtooth
  4. #C
  5. #N Orthogonal sawtooth with expansion factor 6
  6. #C Population is unbounded but does not tend to infinity.  Its graph is
  7. #C a sawtooth function with ever-increasing teeth.  More specifically,
  8. #C the population in generations  t  near  28*6^n  is about  t/5  if
  9. #C t  is odd and about  3t/20  if  t  is even, but the population in
  10. #C generation  14*6^n - 84  (n>=2)  is only 610.  (Even more
  11. #C specifically, the population in generation  t = 28*6^n + 12  (n>=1),
  12. #C is 3t/20 + 603  and it drops to  t/5 + 647  in the next generation.)
  13. #C
  14. #C This uses a spark from a period 4, speed c/4 orthogonal spaceship,
  15. #C found by Hartmut Holzwart, to turn 2+1/2 pairs of LWSSs into a loaf,
  16. #C which is then pulled back by subsequent pairs of LWSSs. When the
  17. #C loaf is pulled all the way back, it gets deleted and the cycle
  18. #C begins again.
  19. #O Dean Hickerson, drhickerson@ucdavis.edu  8/14/92
  20. #E
  21. x = 114, y = 74
  22. 50b2o21bo$51bo19bobo$51bobo8bo2b2o3bobo$52b2o7b2o2bo3bo2bo14b2o$60b2o
  23. 8bobo14bobo$47bo11b3o9bobo16bo11bobo$45bobo12b2o11bo13bo2bo10bo2bo$35b
  24. 2o6b2o16b2o27bo9b2o$34bo8b2o17bo24bobo8b2o3bo9bo$33bo5bo3b2o42b2o11b2o
  25. 10b2o$23bo9bo5b2o4bobo7b2o44bo2bo$23b2o8bo6bo6bo7bobo44bobo$34bo22bo$
  26. 35b2o20b2o8$29bobo$29bo2bo$20b2o10b2o11b2o$20bo9bo3b2o8bobo$32b2o9bo$
  27. 29bo2bo10bo2bo16b2o12bob2o$29bobo11bo19b3obo8b3obob3o$44bobo5b2o9bo4bo
  28. b2o3bo10bobo$2o23bo19b2o5bobo8b2o3bob4o3bo5b2o4b2o$bo23bobo26bo7bob4o
  29. 5bob3o4bo2b2obo$bobo4b2o18b2o4b2o18b2o5b3o13bo4bo$2b2o6bo17b2o5bo26bob
  30. 4o5bob3o4bo2b2obo$11bo16b2o33b2o3bob4o3bo5b2o4b2o$11bo13bobo35bo4bob2o
  31. 3bo10bobo$11bo13bo37b3obo8b3obob3o$10bo52b2o12bob2o$8b2o$3b2o$3bo6$34b
  32. 2o2b3o2b2o11b2o$34bo2b5o2bo10bobo$2obob2o28b9o11bo$o5bo25b3o9b3o7b2o$b
  33. o3bo26bo2bo7bo2bo$2b3o3bo24b2o9b2o$8b2o40b2o$7bobo40bo$43bo4bobo$32bo
  34. 9bobo3b2o$26bobo2b2o9b2obo$25bo2bo2bobo8b2ob2o$24b2o16b2obo$5bo16b2o3b
  35. o14bobo$5bo18b2o17bo$4bobo11b2o5bo2bo$3b2ob2o9bobo6bobo$2bo5bo8bo21bo$
  36. 5bo10b2o20b2o$2b2o3b2o18b2o8b2o4b2o5bo$27bo8b3o4b2o3bobo29bo$37b2o4b2o
  37. 2bobo30bobo$38b2o6bo2bo16b2o15b2o4b2o$39bo7bobo16bo16b2o5bo$48bobo12b
  38. 2o18b2o$50bo11b3o15bobo$63b2o15bo$6bo59bo$5b2o59b2o!
  39.